Base | Representation |
---|---|
bin | 10011110101110001… |
… | …101110010110100100 |
3 | 2000222122221212221200 |
4 | 103311301232112210 |
5 | 322112122301040 |
6 | 13441524042500 |
7 | 1352626151361 |
oct | 236561562644 |
9 | 60878855850 |
10 | 21303322020 |
11 | 9042196162 |
12 | 4166533430 |
13 | 20167069b6 |
14 | 106142d468 |
15 | 84a3b5630 |
hex | 4f5c6e5a4 |
21303322020 has 144 divisors (see below), whose sum is σ = 67986133488. Its totient is φ = 5392465920.
The previous prime is 21303321997. The next prime is 21303322031. The reversal of 21303322020 is 2022330312.
It is a happy number.
21303322020 is a `hidden beast` number, since 2 + 130 + 332 + 202 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 5086827684 + 16216494336 = 71322^2 + 127344^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 21303321984 and 21303322002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234052 + ... + 312068.
It is an arithmetic number, because the mean of its divisors is an integer number (472125927).
Almost surely, 221303322020 is an apocalyptic number.
21303322020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21303322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33993066744).
21303322020 is an abundant number, since it is smaller than the sum of its proper divisors (46682811468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21303322020 is a wasteful number, since it uses less digits than its factorization.
21303322020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78110 (or 78105 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 21303322020 its reverse (2022330312), we get a palindrome (23325652332).
The spelling of 21303322020 in words is "twenty-one billion, three hundred three million, three hundred twenty-two thousand, twenty".
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